GCF of 3424/591, 1633/5964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3424/591, 1633/5964 i.e 1/1174908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3424/591, 1633/5964.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3424/591,1633/5964?
Given fractions are 3424/591,1633/5964
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3424/591,1633/5964, numerators are 3424,1633
Denominators are 591,5964
The GCF of 3424,1633 is 1 .
LCM of 591,5964 is 1174908.
The greatest common factor of 3424/591,1633/5964 = [GCF of 3424,1633]/[LCM of 591,5964]= 1/1174908
Therefore, the GCF of 3424/591,1633/5964 is 1/1174908.
To find the highest common factor of 3424,1633, we have to find the factors of both numbers and list the highest common factor.
The factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424
The factors of 1633 are 1, 23, 71, 1633
The HCF of 3424,1633 is 1.
Lets's calculate GCF of 3424,1633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3424,1633 By Matching Biggest Common Factor Method
Now, list down the factors of 3424
:1,2,4,8,16,32,107,214,428,856,1712,3424
Now, list down the factors of 1633
:1,23,71,1633
Greatest Common Factor
We found the factors 3424,1633 . The biggest common factor number is the GCF number.
So the greatest common factor 3424,1633 is 1.
Lets's calculate LCM of 591,5964
| 3 | 591, 5964 |
| 197, 1988 |
∴ So the LCM of the given numbers is 3 x 197 x 1988 = 1174908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1174908
Therefore, the GCF of Fractions 3424/591,1633/5964 is 1/1174908
Least Common Multiple of 591,5964 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 591,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,5964) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,5964) x common factors =3 x 1 = 3
LCM(591,5964) = ( 591 × 5964 ) / 3
LCM(591,5964) = 3524724 / 3
LCM(591,5964) = 1174908
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FAQs on GCF of Fractions of 3424/591, 1633/5964
1. What is the HCF of 3424,1633?
The HCF of 3424,1633 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3424/591, 1633/5964?
Answer: GCF of Numerators as per given numbers 3424/591, 1633/5964 is
GCF of Numerators i.e. for 3424,1633 is 1
LCM of denominators i.e. for 591,5964 is 1174908.
Thus, GCF of Fractions is 1/1174908.Finally, GCF of Fractions for 3424/591, 1633/5964 is 1/1174908.